4(t-1)+2=2(t+5)

Solution for 4(t-1)+2=2(t+5) equation:

Simplifying
4(t + -1) + 2 = 2(t + 5)

Reorder the terms:
4(-1 + t) + 2 = 2(t + 5)
(-1 * 4 + t * 4) + 2 = 2(t + 5)
(-4 + 4t) + 2 = 2(t + 5)

Reorder the terms:
-4 + 2 + 4t = 2(t + 5)

Combine like terms: -4 + 2 = -2
-2 + 4t = 2(t + 5)

Reorder the terms:
-2 + 4t = 2(5 + t)
-2 + 4t = (5 * 2 + t * 2)
-2 + 4t = (10 + 2t)

Solving
-2 + 4t = 10 + 2t

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '-2t' to each side of the equation.
-2 + 4t + -2t = 10 + 2t + -2t

Combine like terms: 4t + -2t = 2t
-2 + 2t = 10 + 2t + -2t

Combine like terms: 2t + -2t = 0
-2 + 2t = 10 + 0
-2 + 2t = 10

Add '2' to each side of the equation.
-2 + 2 + 2t = 10 + 2

Combine like terms: -2 + 2 = 0
0 + 2t = 10 + 2
2t = 10 + 2

Combine like terms: 10 + 2 = 12
2t = 12

Divide each side by '2'.
t = 6

Simplifying
t = 6